Timeline for Cocomplete but not complete abelian category
Current License: CC BY-SA 3.0
22 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
replaced http://math.stackexchange.com/ with https://math.stackexchange.com/
|
|
| Oct 20, 2014 at 9:28 | vote | accept | Simone Virili | ||
| Oct 15, 2014 at 11:31 | answer | added | Jeremy Rickard | timeline score: 28 | |
| Mar 29, 2013 at 15:48 | answer | added | George C. Modoi | timeline score: 1 | |
| Nov 26, 2012 at 20:22 | comment | added | Martin Brandenburg | This question is still open (although an answer was accepted by the bounty rule)! | |
| Nov 26, 2012 at 18:19 | vote | accept | Simone Virili | ||
| Oct 15, 2014 at 14:01 | |||||
| Nov 26, 2012 at 18:19 | history | bounty ended | Simone Virili | ||
| Nov 26, 2012 at 2:04 | comment | added | Martin Brandenburg | This question is quite challenging, despite of being quite basic at first sight. I have played around with a lots of cocomplete abelian categories, but somehow they always turn out to be complete. Meanwhile I suspect that counterexamples will be quite strange ... | |
| Nov 26, 2012 at 0:12 | answer | added | William Harrison | timeline score: -1 | |
| Nov 25, 2012 at 23:37 | comment | added | Fernando Muro | Wrong answers are also hepful. They prevent us from falling in the same mistakes again and again. | |
| Nov 24, 2012 at 16:18 | comment | added | Simone Virili | I agree even if I think that an answer is automatically accepted only if it has at least 2 up votes. | |
| Nov 24, 2012 at 12:08 | comment | added | Martin Brandenburg | Perhaps the (wrong) answers should be deleted so that they won't be accepted by the bounty rule. | |
| Nov 23, 2012 at 6:22 | comment | added | Bugs Bunny | Whoops, I am withdrawing my answer as it is obviously wrong. Thanks for pointing it out... | |
| Nov 22, 2012 at 20:37 | answer | added | Buschi Sergio | timeline score: -2 | |
| Nov 19, 2012 at 20:54 | history | bounty started | Simone Virili | ||
| Nov 17, 2012 at 14:46 | comment | added | Martin Brandenburg | Your lemma is a special case of the general observation that coreflective subcategories of complete categories are complete. | |
| Nov 17, 2012 at 14:34 | history | edited | Martin Brandenburg | CC BY-SA 3.0 |
edited tags; edited title
|
| Nov 17, 2012 at 8:47 | history | edited | Simone Virili | CC BY-SA 3.0 |
added 1170 characters in body
|
| Nov 16, 2012 at 14:30 | comment | added | Andrej Bauer | Oops, sorry, too early in the morning. In any case, I bet someone will produce a counter-example. | |
| Nov 16, 2012 at 14:02 | comment | added | Simone Virili | @Andrej Bauer: It is what I wrote in the question: an abelian category is Grothedieck if it is cocomplete, colimits are exact and is has a set of generators. The canonical example is that of a category of modules. A deep result of Gabriel and Popescu characterizes Grothendieck categories as the torsion-theoretic localizations of module categories. (see also en.wikipedia.org/wiki/Grothendieck_category) | |
| Nov 16, 2012 at 13:58 | comment | added | Andrej Bauer | Excuse my ignorance, but what is a Grothendieck category? | |
| Nov 16, 2012 at 13:36 | history | asked | Simone Virili | CC BY-SA 3.0 |